Strongly interacting bosons in multichromatic potentials supporting mobility edges: Localization, quasi-condensation, and expansion dynamics
Pedro Ribeiro, Masudul Haque, Achilleas Lazarides
We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multichromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping from strongly interacting bosons to weakly interacting fermions and provide exact numerical results for hard-core bosons in and out of equilibrium. In equilibrium, we find that the system behaves like a quasi-condensate (insulator) depending on whether the Fermi surface of the corresponding fermionic system lies in a spectral region where the single-particle states are delocalized (localized). We also study nonequilibrium expansion dynamics of initially trapped bosons and demonstrate that the extent of partial localization is determined by the single-particle spectrum.
arXiv:1211.6012•Physical Review A•Apr 29, 2013•20 citations